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Gnom [1K]
3 years ago
14

Explain how to use a number line to show that opposite quantities combine to make zero.

Mathematics
2 answers:
zhannawk [14.2K]3 years ago
8 0

Yes your answer is correct.

Anna71 [15]3 years ago
5 0
On the left side of the 0 put negative number starting with a -4 and and once you get to the 0 put 1 2 3 4
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Write down the quadratic equation whose roots are $x = -7$ and $x = 1,$ and the coefficient of $x^2$ is 1. Enter your answer in
pav-90 [236]
<h2>Steps:</h2>

So firstly, since we know that the coefficient of x² is 1, this means that this is our base equation:

y = x² + bx + c

Now, since we know that the roots are -7 and 1, set y = 0 and set x = -7 and 1 and simplify:

0=(-7)^2+b(-7)+c\\0=49-7b+c\\-49=-7b+c\\\\0=1^2+b(1)+c\\0=1+b+c\\-1=b+c\\\\-49=-7b+c\\-1=b+c

Now with this, we can set up a system of equations to solve for b and c. For this, I will be using the elimination method. For this, subtract the 2 equations:

\begin{alignedat}{2}-49&=-7b+c\\-(-1&=b+c)\\-48&=-8b\end{alignedat}

Now that the c variable has been eliminated we can solve for b. For this, divide both sides by -8 and your first part of your answer is b = 6.

Now that we know the value of b, plug it into either equation to solve for c:

-49=-7(6)+c\\-49=-42+c\\-7=c\\\\-1=6+c\\-7=c

<h2>Answer:</h2>

<u>Putting it together, your final answer is x² + 6x - 7 = 0.</u>

4 0
3 years ago
Solve for 3.3x-4=-13.9
evablogger [386]

Answer: Simple and best practice solution for 3.3x-4=-13.9 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

Step-by-step explanation: Idk how to explain I’m just smart so I can figure it out

4 0
3 years ago
Read 2 more answers
Thirty-five percent of what number is 10.5?
erastovalidia [21]

30% of 35 = 10.5

35 would be your answer. 

3 0
3 years ago
Read 2 more answers
Which of the following functions is graphed below ? (:
Alekssandra [29.7K]
C is the answer.  By only looking at the domain (the stuff on the right in the functions), you can see that the first equation has a hole at x=2, meaning it does not have a value here at x=2.  When x<2, there are values for the 1st function.  When x>2, there are values for the second function, as well as when x=2
5 0
3 years ago
Help me please ?!!!!
blondinia [14]

Answer:

<em>The slope of the line is -1</em>

Step-by-step explanation:

<u>Slope of a Line</u>

Suppose we know a given line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated as follows:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

From the table in the image, we select the points (1,4) (3,2). The slope is:

\displaystyle m=\frac{2-4}{3-1}=\frac{-2}{2}=-1

Now select two other points like (5,0) (7,-2)

\displaystyle m=\frac{-2-0}{7-5}=\frac{-2}{2}=-1

Following the same procedure with any other pair of points, we'll get the very same result:

The slope of the line is -1

4 0
3 years ago
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